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Finding the Fourth Proportional to 300.21, 447.78 and 273.68

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Solution

The fourth proportional to 300.21, 447.78 and 273.68 is: 408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.21 : 447.78 = 273.68 : x
  2. Step 2: Convert to fraction form
    300.21/447.78 = 273.68/x
  3. Step 3: Cross multiply
    300.21x = 447.78 × 273.68
  4. Step 4: Simplify right side
    300.21x = 122,547.36
  5. Step 5: Solve for x
    x = 122,547.36/300.21
  6. Step 6: Final answer
    x = 408.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.